5/4x-1+-1/(4x-1)^2=4

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Solution for 5/4x-1+-1/(4x-1)^2=4 equation: 



5/4x-1+-1/(4x-1)^2=4

We move all terms to the left:

5/4x-1+-1/(4x-1)^2-(4)=0



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R





Domain of the equation: (4x-1)^2!=0

x∈R



determiningTheFunctionDomain
5/4x-1/(4x-1)^2-1-4+=0

We add all the numbers together, and all the variables

5/4x-1/(4x-1)^2=0

We calculate fractions


(5*(4x-1)^2)/(4x*(4x-1)^2)+(-4x)/(4x*(4x-1)^2)=0



We calculate terms in parentheses: +(5*(4x-1)^2)/(4x*(4x-1)^2), so:

5*(4x-1)^2)/(4x*(4x-1)^2

We multiply all the terms by the denominator


5*(4x-1)^2)

We multiply parentheses

20x+

We add all the numbers together, and all the variables

20x

Back to the equation:

+(20x)





We calculate terms in parentheses: +(-4x)/(4x*(4x-1)^2), so:

-4x)/(4x*(4x-1)^2

We multiply all the terms by the denominator


-4x)

Back to the equation:

+(-4x))



We get rid of parentheses

20x-4x)=0

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